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Finding the Third Proportional to 910,591,236 and 1,959,290,448

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Solution

The third proportional to 910,591,236 and 1,959,290,448 is: 4,215,743,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,591,236 : 1,959,290,448 = 1,959,290,448 : x
  2. Step 2: Convert to fraction form
    910,591,236/1,959,290,448 = 1,959,290,448/x
  3. Step 3: Cross multiply
    910,591,236x = 1,959,290,448 × 1,959,290,448
  4. Step 4: Simplify right side
    910,591,236x = 3,838,819,059,624,040,448
  5. Step 5: Solve for x
    x = 3,838,819,059,624,040,448/910,591,236
  6. Step 6: Final answer
    x = 4,215,743,472.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.